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Finding the Fourth Proportional to 331,484.76, 497,226.78 and 82,166.76

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Solution

The fourth proportional to 331,484.76, 497,226.78 and 82,166.76 is: 123,250.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,484.76 : 497,226.78 = 82,166.76 : x
  2. Step 2: Convert to fraction form
    331,484.76/497,226.78 = 82,166.76/x
  3. Step 3: Cross multiply
    331,484.76x = 497,226.78 × 82,166.76
  4. Step 4: Simplify right side
    331,484.76x = 40,855,513,497.83
  5. Step 5: Solve for x
    x = 40,855,513,497.83/331,484.76
  6. Step 6: Final answer
    x = 123,250.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.